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Simplifying -6 + -1(2x + 7) = 12 + -2(10 + -2x) Reorder the terms: -6 + -1(7 + 2x) = 12 + -2(10 + -2x) -6 + (7 * -1 + 2x * -1) = 12 + -2(10 + -2x) -6 + (-7 + -2x) = 12 + -2(10 + -2x) Combine like terms: -6 + -7 = -13 -13 + -2x = 12 + -2(10 + -2x) -13 + -2x = 12 + (10 * -2 + -2x * -2) -13 + -2x = 12 + (-20 + 4x) Combine like terms: 12 + -20 = -8 -13 + -2x = -8 + 4x Solving -13 + -2x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + -2x + -4x = -8 + 4x + -4x Combine like terms: -2x + -4x = -6x -13 + -6x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -6x = -8 + 0 -13 + -6x = -8 Add '13' to each side of the equation. -13 + 13 + -6x = -8 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = -8 + 13 -6x = -8 + 13 Combine like terms: -8 + 13 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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